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Toeplitz Operators with BMO Symbols on Holomorphic Besov Spaces

✍ Scribed by Edgar Tchoundja

Book ID
120950740
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
289 KB
Volume
8
Category
Article
ISSN
1661-8254

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Holomorphic Besov spaces in the polydisc
Holomorphic Besov spaces in the polydisc and bounded Toeplitz operators
✍ Harutyunyan, Anahit V.; Harutyunyan, Gohar 📂 Article 📅 2010 🏛 Oldenbourg Wissenschaftsverlag 🌐 English ⚖ 148 KB

The definition of the holomorphic, weighted Besov spaces B p (α) in the n-dimensional polydisc is extended to all 0 < p < +∞, 1p < α < +∞. Then Toeplitz' operators are considered in B p (α) for 1 ≤ p < ∞, and the symbols {h} for which the Toeplitz operators {T h } induce bounded operators T h : B p